Question

Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front.

Type of Editing Cost per page
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Express proofreading - $2.20
Basic proofreading - $2.80
Extended proofreading - $3.90
Deep editing - $12.00
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Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount:

25c − 0.05(25c) = T

Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Express proofreading
Basic proofreading
Extended proofreading
Deep editing

Answer 1

For this case we have the following equation:

`25c - 0.05 (25c) = T`
Where, the variables are defined as:
c: the cost per page
t: the total cost of editing 25 pages
From here, we must replace the value of t = 66.50 in the given equation:

`25c - 0.05 (25c) = 66.50`
Then, we clear the value of c.
We have then:

`25c - 1.25c = 66.50 23.75c = 66.50 c = 66.50 / 23.75 c = 2.8`
Answer:
The best quality of editing that Maria can get done for a maximum of $ 66.50 is:
Basic proofreading